Encyclopedia of Operations Research and Management Science

2001 Edition
| Editors: Saul I. Gass, Carl M. Harris

Combinatorial and integer optimization

  • Karla L. Hoffman
  • Manfred Padberg
Reference work entry
DOI: https://doi.org/10.1007/1-4020-0611-X_129

INTRODUCTION

Combinatorial optimization problems are concerned with the efficient allocation of limited resources to meet desired objectives when the values of some or all of the variables are restricted to be integral. Constraints on basic resources, such as labor, supplies, or capital restrict the possible alternatives that are considered feasible. Still, in most such problems, there are many possible alternatives to consider and one overall goal determines which of these alternatives is best. For example, most airlines need to determine crews chedules which minimize the total operating cost; automotive manufacturers may want to determine the design of a fleet of cars which will maximize their share of the market; a flexible manufacturing facility needs to schedule the production for a plant without having much advance notice as to what parts will need to be produced that day. In today's changing and competitive industrial environment the difference between using a quickly derived...

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Karla L. Hoffman
    • 1
  • Manfred Padberg
    • 2
  1. 1.George Mason UniversityFairfaxUSA
  2. 2.New York UniversityNew YorkUSA